On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866909156280107008 |
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| author | Sakhnovich, Alexander |
| author_facet | Sakhnovich, Alexander |
| contents | We consider canonical systems (with $2p\times 2p$ Hamiltonians $H(x)\geq 0$), which correspond to matrix string equations. Direct and inverse problems are solved in terms of Titchmarsh--Weyl and spectral matrix functions and related $S$-nodes. Procedures for solving inverse problems are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_07612 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations Sakhnovich, Alexander Spectral Theory Mathematical Physics Classical Analysis and ODEs Functional Analysis 34A55, 34B20, 34L40, 46N20, 47A48, 70H05 We consider canonical systems (with $2p\times 2p$ Hamiltonians $H(x)\geq 0$), which correspond to matrix string equations. Direct and inverse problems are solved in terms of Titchmarsh--Weyl and spectral matrix functions and related $S$-nodes. Procedures for solving inverse problems are given. |
| title | On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations |
| topic | Spectral Theory Mathematical Physics Classical Analysis and ODEs Functional Analysis 34A55, 34B20, 34L40, 46N20, 47A48, 70H05 |
| url | https://arxiv.org/abs/2104.07612 |